🕷️ Crawler Inspector

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Direct Parameter Lookup

Raw Queries and Responses

1. Shard Calculation

Query:

Response:

Calculated Shard: 180 (from laksa050)

2. Crawled Status Check

Query:

curl -X POST \
  'http://laksa180.int.ahrefs:8124/' \
  -H 'Content-Type: text/plain' \
  -H 'X-ClickHouse-Database: crawler3' \
  -H 'Authorization: Basic YXBpOg==' \
  -d 'SELECT getAhrefsURLFromUnparsed(src_unparsed) AS found_url, ifNull(toUnixTimestamp(download_stamp), 0) AS crawl_time, ifNull(toUnixTimestamp(props_url_first_seen), 0) AS first_indexed_time, download_http_code AS http_code, src_unparsed AS src_unparsed, src_root_hash AS src_root_hash, history_drop_reason AS history_drop_reason, meta_title AS meta_title, meta_descriptions AS meta_descriptions, attrs_boilerpipe_text AS attrs_boilerpipe_text, attrs_markdown AS attrs_markdown, attrs_readable_markdown AS attrs_readable_markdown, meta_canonical AS meta_canonical FROM crawler3.page_info_local FINAL PREWHERE (src_root_hash, src_unparsed) IN ((getAhrefsRootHashFromUnparsed(getAhrefsUnparsedNoserviceFromURL(\'https://quantumcryptlab.com/quantum-physics/quantum-superposition/\')), getAhrefsUnparsedNoserviceFromURL(\'https://quantumcryptlab.com/quantum-physics/quantum-superposition/\'))) FORMAT JSONEachRow'

Response:

{"found_url":"https:\/\/quantumcryptlab.com\/quantum-physics\/quantum-superposition\/","crawl_time":1776329085,"first_indexed_time":1751759252,"http_code":200,"src_unparsed":"com,quantumcryptlab!\/quantum-physics\/quantum-superposition\/ s443","src_root_hash":"10481931893395793580","history_drop_reason":null,"meta_title":"Quantum Superposition | Quantum Crypt Lab","meta_descriptions":["Quantum Superposition # Quantum superposition is one of the fundamental principles of quantum mechanics. It states that a quantum system can exist in multiple states simultaneously until it is measured. Mathematical Description # In quantum mechanics, we can describe a quantum state |ψ⟩ as a superposition of basis states. For example, a qubit can be written as: \\[ |\\psi\\rangle = \\alpha|0\\rangle + \\beta|1\\rangle \\] where α and β are complex numbers satisfying:"],"attrs_boilerpipe_text":"Quantum superposition is one of the fundamental principles of quantum mechanics. It states that a quantum system can exist in multiple states simultaneously until it is measured.\nMathematical Description\n#\nIn quantum mechanics, we can describe a quantum state |ψ⟩ as a superposition of basis states. For example, a qubit can be written as:\n\\[\n|\\psi\\rangle = \\alpha|0\\rangle + \\beta|1\\rangle\n\\]\nwhere α and β are complex numbers satisfying:\n\\[\n|\\alpha|^2 + |\\beta|^2 = 1\n\\]\nPhysical Interpretation\n#\nWhen we measure this superposed state, we will find the system in either state |0⟩ with probability |α|² or state |1⟩ with probability |β|². This is known as the Born rule.\nFamous Example: Schrödinger’s Cat\n#\nThe most famous thought experiment illustrating quantum superposition is Schrödinger’s cat, where a cat in a sealed box is simultaneously alive and dead until the box is opened (measurement is made). This can be represented as:\n\\[\n|\\text{cat}\\rangle = \\frac{1}{\\sqrt{2}}(|\\text{alive}\\rangle + |\\text{dead}\\rangle)\n\\]\nThis example shows a superposition with equal probabilities (|α|² = |β|² = 1\/2).","attrs_markdown":"## [Quantum Crypt Lab](https:\/\/quantumcryptlab.com\/)\n- [Learning Resources](https:\/\/quantumcryptlab.com\/learning-resources\/)\n  - [Books](https:\/\/quantumcryptlab.com\/learning-resources\/books\/)\n  - [Research Papers](https:\/\/quantumcryptlab.com\/learning-resources\/papers\/)\n  - [Video Courses](https:\/\/quantumcryptlab.com\/learning-resources\/video-courses\/)\n- Quantum Computing\n  - [Introduction to Quantum Computing](https:\/\/quantumcryptlab.com\/quantum-computing\/introduction-quantum-computing\/)\n  - [Qiskit](https:\/\/quantumcryptlab.com\/quantum-computing\/qiskit\/)\n    - [Introduction to Qiskit](https:\/\/quantumcryptlab.com\/quantum-computing\/qiskit\/qiskit-introduction\/)\n    - [Installation and Setup](https:\/\/quantumcryptlab.com\/quantum-computing\/qiskit\/qiskit-installation\/)\n    - [Basic Quantum Circuits](https:\/\/quantumcryptlab.com\/quantum-computing\/qiskit\/qiskit-basic-circuits\/)\n    - [Quantum Algorithms with Qiskit](https:\/\/quantumcryptlab.com\/quantum-computing\/qiskit\/qiskit-algorithms\/)\n    - [Advanced Qiskit Topics](https:\/\/quantumcryptlab.com\/quantum-computing\/qiskit\/qiskit-advanced\/)\n- [test](https:\/\/quantumcryptlab.com\/about\/)\n- [Quantum Physics](https:\/\/quantumcryptlab.com\/quantum-physics\/)\n  - [Quantum Entanglement](https:\/\/quantumcryptlab.com\/quantum-physics\/quantum-entanglement\/)\n  - [Quantum Superposition](https:\/\/quantumcryptlab.com\/quantum-physics\/quantum-superposition\/)\n- [Cryptography](https:\/\/quantumcryptlab.com\/cryptography\/)\n  - [Zero-Knowledge Proofs](https:\/\/quantumcryptlab.com\/cryptography\/zero-knowledge-proof\/)\n    - [Schnorr's Identification Protocol](https:\/\/quantumcryptlab.com\/cryptography\/zero-knowledge-proof\/schnorrs-identification-protocol\/)\n- [Mathematics](https:\/\/quantumcryptlab.com\/mathematics\/)\n  - [Boolean Algebra](https:\/\/quantumcryptlab.com\/mathematics\/boolean-algebra\/)\n  - [Group Theory](https:\/\/quantumcryptlab.com\/mathematics\/group-theory\/)\n- [Research](https:\/\/quantumcryptlab.com\/research\/)\n- [Artificial Intelligence](https:\/\/quantumcryptlab.com\/ai\/)\n  - [AI in crypto](https:\/\/quantumcryptlab.com\/ai\/ai-in-crypto\/)\n  - [AI Security](https:\/\/quantumcryptlab.com\/ai\/ai-security\/)\n    - [homomorphic encryption](https:\/\/quantumcryptlab.com\/ai\/ai-security\/homomorphic-encryption\/)\n\n![Menu](https:\/\/quantumcryptlab.com\/svg\/menu.svg)\n\n### Quantum Superposition\n![Table of Contents](https:\/\/quantumcryptlab.com\/svg\/toc.svg)\n\n- [Mathematical Description](https:\/\/quantumcryptlab.com\/quantum-physics\/quantum-superposition\/#mathematical-description)\n- [Physical Interpretation](https:\/\/quantumcryptlab.com\/quantum-physics\/quantum-superposition\/#physical-interpretation)\n- [Famous Example: Schrödinger’s Cat](https:\/\/quantumcryptlab.com\/quantum-physics\/quantum-superposition\/#famous-example-schr%C3%B6dingers-cat)\n\n# Quantum Superposition [\\#](https:\/\/quantumcryptlab.com\/quantum-physics\/quantum-superposition\/#quantum-superposition)\nQuantum superposition is one of the fundamental principles of quantum mechanics. It states that a quantum system can exist in multiple states simultaneously until it is measured.\n\n## Mathematical Description [\\#](https:\/\/quantumcryptlab.com\/quantum-physics\/quantum-superposition\/#mathematical-description)\nIn quantum mechanics, we can describe a quantum state \\|ψ⟩ as a superposition of basis states. For example, a qubit can be written as:\n\n\\\\\\[ \\|\\\\psi\\\\rangle = \\\\alpha\\|0\\\\rangle + \\\\beta\\|1\\\\rangle \\\\\\]\n\nwhere α and β are complex numbers satisfying:\n\n\\\\\\[ \\|\\\\alpha\\|^2 + \\|\\\\beta\\|^2 = 1 \\\\\\]\n\n## Physical Interpretation [\\#](https:\/\/quantumcryptlab.com\/quantum-physics\/quantum-superposition\/#physical-interpretation)\nWhen we measure this superposed state, we will find the system in either state \\|0⟩ with probability \\|α\\|² or state \\|1⟩ with probability \\|β\\|². This is known as the Born rule.\n\n## Famous Example: Schrödinger’s Cat [\\#](https:\/\/quantumcryptlab.com\/quantum-physics\/quantum-superposition\/#famous-example-schr%C3%B6dingers-cat)\nThe most famous thought experiment illustrating quantum superposition is Schrödinger’s cat, where a cat in a sealed box is simultaneously alive and dead until the box is opened (measurement is made). This can be represented as:\n\n\\\\\\[ \\|\\\\text{cat}\\\\rangle = \\\\frac{1}{\\\\sqrt{2}}(\\|\\\\text{alive}\\\\rangle + \\|\\\\text{dead}\\\\rangle) \\\\\\]\n\nThis example shows a superposition with equal probabilities (\\|α\\|² = \\|β\\|² = 1\/2).\n\n- [Mathematical Description](https:\/\/quantumcryptlab.com\/quantum-physics\/quantum-superposition\/#mathematical-description)\n- [Physical Interpretation](https:\/\/quantumcryptlab.com\/quantum-physics\/quantum-superposition\/#physical-interpretation)\n- [Famous Example: Schrödinger’s Cat](https:\/\/quantumcryptlab.com\/quantum-physics\/quantum-superposition\/#famous-example-schr%C3%B6dingers-cat)","attrs_readable_markdown":"Quantum superposition is one of the fundamental principles of quantum mechanics. It states that a quantum system can exist in multiple states simultaneously until it is measured.\n\n## Mathematical Description [\\#](https:\/\/quantumcryptlab.com\/quantum-physics\/quantum-superposition\/#mathematical-description)\nIn quantum mechanics, we can describe a quantum state \\|ψ⟩ as a superposition of basis states. For example, a qubit can be written as:\n\n\\\\\\[ \\|\\\\psi\\\\rangle = \\\\alpha\\|0\\\\rangle + \\\\beta\\|1\\\\rangle \\\\\\]\n\nwhere α and β are complex numbers satisfying:\n\n\\\\\\[ \\|\\\\alpha\\|^2 + \\|\\\\beta\\|^2 = 1 \\\\\\]\n\n## Physical Interpretation [\\#](https:\/\/quantumcryptlab.com\/quantum-physics\/quantum-superposition\/#physical-interpretation)\nWhen we measure this superposed state, we will find the system in either state \\|0⟩ with probability \\|α\\|² or state \\|1⟩ with probability \\|β\\|². This is known as the Born rule.\n\n## Famous Example: Schrödinger’s Cat [\\#](https:\/\/quantumcryptlab.com\/quantum-physics\/quantum-superposition\/#famous-example-schr%C3%B6dingers-cat)\nThe most famous thought experiment illustrating quantum superposition is Schrödinger’s cat, where a cat in a sealed box is simultaneously alive and dead until the box is opened (measurement is made). This can be represented as:\n\n\\\\\\[ \\|\\\\text{cat}\\\\rangle = \\\\frac{1}{\\\\sqrt{2}}(\\|\\\\text{alive}\\\\rangle + \\|\\\\text{dead}\\\\rangle) \\\\\\]\n\nThis example shows a superposition with equal probabilities (\\|α\\|² = \\|β\\|² = 1\/2).","meta_canonical":null}

3. Robots.txt Check

Query:

Response:

4. Spam/Ban Check

Query:

Response:

5. Seen Status Check

ℹ️ Skipped - page is already crawled

📄

INDEXABLE

✅

CRAWLED

1 day ago

🤖

ROBOTS ALLOWED

Page Info Filters

Filter	Status	Condition	Details
HTTP status	PASS	`download_http_code = 200`	HTTP 200
Age cutoff	PASS	`download_stamp > now() - 6 MONTH`	0 months ago
History drop	PASS	`isNull(history_drop_reason)`	No drop reason
Spam/ban	PASS	`fh_dont_index != 1 AND ml_spam_score = 0`	ml_spam_score=0
Canonical	PASS	`meta_canonical IS NULL OR = '' OR = src_unparsed`	Not set

Page Details

Property	Value
URL	https://quantumcryptlab.com/quantum-physics/quantum-superposition/
Last Crawled	2026-04-16 08:44:45 (1 day ago)
First Indexed	2025-07-05 23:47:32 (9 months ago)
HTTP Status Code	200
Meta Title	Quantum Superposition \| Quantum Crypt Lab
Meta Description	Quantum Superposition # Quantum superposition is one of the fundamental principles of quantum mechanics. It states that a quantum system can exist in multiple states simultaneously until it is measured. Mathematical Description # In quantum mechanics, we can describe a quantum state \|ψ⟩ as a superposition of basis states. For example, a qubit can be written as: \[ \|\psi\rangle = \alpha\|0\rangle + \beta\|1\rangle \] where α and β are complex numbers satisfying:
Meta Canonical	null
Boilerpipe Text	Quantum superposition is one of the fundamental principles of quantum mechanics. It states that a quantum system can exist in multiple states simultaneously until it is measured. Mathematical Description # In quantum mechanics, we can describe a quantum state \|ψ⟩ as a superposition of basis states. For example, a qubit can be written as: \[ \|\psi\rangle = \alpha\|0\rangle + \beta\|1\rangle \] where α and β are complex numbers satisfying: \[ \|\alpha\|^2 + \|\beta\|^2 = 1 \] Physical Interpretation # When we measure this superposed state, we will find the system in either state \|0⟩ with probability \|α\|² or state \|1⟩ with probability \|β\|². This is known as the Born rule. Famous Example: Schrödinger’s Cat # The most famous thought experiment illustrating quantum superposition is Schrödinger’s cat, where a cat in a sealed box is simultaneously alive and dead until the box is opened (measurement is made). This can be represented as: \[ \|\text{cat}\rangle = \frac{1}{\sqrt{2}}(\|\text{alive}\rangle + \|\text{dead}\rangle) \] This example shows a superposition with equal probabilities (\|α\|² = \|β\|² = 1/2).
Markdown	## [Quantum Crypt Lab](https://quantumcryptlab.com/) - [Learning Resources](https://quantumcryptlab.com/learning-resources/) - [Books](https://quantumcryptlab.com/learning-resources/books/) - [Research Papers](https://quantumcryptlab.com/learning-resources/papers/) - [Video Courses](https://quantumcryptlab.com/learning-resources/video-courses/) - Quantum Computing - [Introduction to Quantum Computing](https://quantumcryptlab.com/quantum-computing/introduction-quantum-computing/) - [Qiskit](https://quantumcryptlab.com/quantum-computing/qiskit/) - [Introduction to Qiskit](https://quantumcryptlab.com/quantum-computing/qiskit/qiskit-introduction/) - [Installation and Setup](https://quantumcryptlab.com/quantum-computing/qiskit/qiskit-installation/) - [Basic Quantum Circuits](https://quantumcryptlab.com/quantum-computing/qiskit/qiskit-basic-circuits/) - [Quantum Algorithms with Qiskit](https://quantumcryptlab.com/quantum-computing/qiskit/qiskit-algorithms/) - [Advanced Qiskit Topics](https://quantumcryptlab.com/quantum-computing/qiskit/qiskit-advanced/) - [test](https://quantumcryptlab.com/about/) - [Quantum Physics](https://quantumcryptlab.com/quantum-physics/) - [Quantum Entanglement](https://quantumcryptlab.com/quantum-physics/quantum-entanglement/) - [Quantum Superposition](https://quantumcryptlab.com/quantum-physics/quantum-superposition/) - [Cryptography](https://quantumcryptlab.com/cryptography/) - [Zero-Knowledge Proofs](https://quantumcryptlab.com/cryptography/zero-knowledge-proof/) - [Schnorr's Identification Protocol](https://quantumcryptlab.com/cryptography/zero-knowledge-proof/schnorrs-identification-protocol/) - [Mathematics](https://quantumcryptlab.com/mathematics/) - [Boolean Algebra](https://quantumcryptlab.com/mathematics/boolean-algebra/) - [Group Theory](https://quantumcryptlab.com/mathematics/group-theory/) - [Research](https://quantumcryptlab.com/research/) - [Artificial Intelligence](https://quantumcryptlab.com/ai/) - [AI in crypto](https://quantumcryptlab.com/ai/ai-in-crypto/) - [AI Security](https://quantumcryptlab.com/ai/ai-security/) - [homomorphic encryption](https://quantumcryptlab.com/ai/ai-security/homomorphic-encryption/) ![Menu](https://quantumcryptlab.com/svg/menu.svg) ### Quantum Superposition ![Table of Contents](https://quantumcryptlab.com/svg/toc.svg) - [Mathematical Description](https://quantumcryptlab.com/quantum-physics/quantum-superposition/#mathematical-description) - [Physical Interpretation](https://quantumcryptlab.com/quantum-physics/quantum-superposition/#physical-interpretation) - [Famous Example: Schrödinger’s Cat](https://quantumcryptlab.com/quantum-physics/quantum-superposition/#famous-example-schr%C3%B6dingers-cat) # Quantum Superposition [\#](https://quantumcryptlab.com/quantum-physics/quantum-superposition/#quantum-superposition) Quantum superposition is one of the fundamental principles of quantum mechanics. It states that a quantum system can exist in multiple states simultaneously until it is measured. ## Mathematical Description [\#](https://quantumcryptlab.com/quantum-physics/quantum-superposition/#mathematical-description) In quantum mechanics, we can describe a quantum state \\|ψ⟩ as a superposition of basis states. For example, a qubit can be written as: \\\[ \\|\\psi\\rangle = \\alpha\\|0\\rangle + \\beta\\|1\\rangle \\\] where α and β are complex numbers satisfying: \\\[ \\|\\alpha\\|^2 + \\|\\beta\\|^2 = 1 \\\] ## Physical Interpretation [\#](https://quantumcryptlab.com/quantum-physics/quantum-superposition/#physical-interpretation) When we measure this superposed state, we will find the system in either state \\|0⟩ with probability \\|α\\|² or state \\|1⟩ with probability \\|β\\|². This is known as the Born rule. ## Famous Example: Schrödinger’s Cat [\#](https://quantumcryptlab.com/quantum-physics/quantum-superposition/#famous-example-schr%C3%B6dingers-cat) The most famous thought experiment illustrating quantum superposition is Schrödinger’s cat, where a cat in a sealed box is simultaneously alive and dead until the box is opened (measurement is made). This can be represented as: \\\[ \\|\\text{cat}\\rangle = \\frac{1}{\\sqrt{2}}(\\|\\text{alive}\\rangle + \\|\\text{dead}\\rangle) \\\] This example shows a superposition with equal probabilities (\\|α\\|² = \\|β\\|² = 1/2). - [Mathematical Description](https://quantumcryptlab.com/quantum-physics/quantum-superposition/#mathematical-description) - [Physical Interpretation](https://quantumcryptlab.com/quantum-physics/quantum-superposition/#physical-interpretation) - [Famous Example: Schrödinger’s Cat](https://quantumcryptlab.com/quantum-physics/quantum-superposition/#famous-example-schr%C3%B6dingers-cat)
Readable Markdown	Quantum superposition is one of the fundamental principles of quantum mechanics. It states that a quantum system can exist in multiple states simultaneously until it is measured. ## Mathematical Description [\#](https://quantumcryptlab.com/quantum-physics/quantum-superposition/#mathematical-description) In quantum mechanics, we can describe a quantum state \\|ψ⟩ as a superposition of basis states. For example, a qubit can be written as: \\\[ \\|\\psi\\rangle = \\alpha\\|0\\rangle + \\beta\\|1\\rangle \\\] where α and β are complex numbers satisfying: \\\[ \\|\\alpha\\|^2 + \\|\\beta\\|^2 = 1 \\\] ## Physical Interpretation [\#](https://quantumcryptlab.com/quantum-physics/quantum-superposition/#physical-interpretation) When we measure this superposed state, we will find the system in either state \\|0⟩ with probability \\|α\\|² or state \\|1⟩ with probability \\|β\\|². This is known as the Born rule. ## Famous Example: Schrödinger’s Cat [\#](https://quantumcryptlab.com/quantum-physics/quantum-superposition/#famous-example-schr%C3%B6dingers-cat) The most famous thought experiment illustrating quantum superposition is Schrödinger’s cat, where a cat in a sealed box is simultaneously alive and dead until the box is opened (measurement is made). This can be represented as: \\\[ \\|\\text{cat}\\rangle = \\frac{1}{\\sqrt{2}}(\\|\\text{alive}\\rangle + \\|\\text{dead}\\rangle) \\\] This example shows a superposition with equal probabilities (\\|α\\|² = \\|β\\|² = 1/2).
Shard	180 (laksa)
Root Hash	10481931893395793580
Unparsed URL	com,quantumcryptlab!/quantum-physics/quantum-superposition/ s443